Chapter 4: Q72. (page 188)

Solve the system of equation.
$\begin{array}{l} 2 x + y = 5 \\ 4 x + y = 9 \end{array}$

Short Answer

Expert verified

The solution is $x = 2, y = 1$ .

Step by step solution

Step 1- Consider the equation.

Consider the system of equation

$\begin{array}{l} 2 x + y = 5 (1) \\ 4 x + y = 9 (2) \end{array}$

Step 2- Step description.

Multiply the equation (1) by 2 such that $4 x + 2 y = 10$ . (3)

Subtract the equation (2) from the equation (3) as follows:

$\begin{array}{l} 4 x + 2 y - (4 x + y) = 10 - 9 \\ 4 x + 2 y - 4 x - y = 1 \\ y = 1 \end{array}$

Step 3- Step description.

Substitute the value of y in equation (1).

$\begin{array}{l} 2 x + y = 5 \\ 2 x + 1 = 5 \\ 2 x = 4 \\ x = 2 \end{array}$

Therefore, the solution is $x = 2, y = 1$ .

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Solve the system of equation.
$\begin{array}{l} 2 x + y = 5 \\ 4 x + y = 9 \end{array}$

Short Answer

Step by step solution

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Step 2- Step description.

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Solve the system of equation.
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